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3343035640 = 235713787149
BaseRepresentation
bin1100011101000010…
…1010110011111000
322121222111210202211
43013100222303320
523321304120030
61311420504504
7145562222410
oct30720526370
98558453684
103343035640
11146606917a
127936ab134
1341379c7c9
14239dbd640
1514875412a
hexc742acf8

3343035640 has 64 divisors (see below), whose sum is σ = 8659224000. Its totient is φ = 1137804288.

The previous prime is 3343035637. The next prime is 3343035649. The reversal of 3343035640 is 465303433.

It is a happy number.

3343035640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33430356402 = 22351774580620419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343035649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215 + ... + 81934.

It is an arithmetic number, because the mean of its divisors is an integer number (135300375).

Almost surely, 23343035640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329612000).

3343035640 is an abundant number, since it is smaller than the sum of its proper divisors (5316188360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3343035640 is a wasteful number, since it uses less digits than its factorization.

3343035640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87304 (or 87300 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

The square root of 3343035640 is about 57818.9903059540. The cubic root of 3343035640 is about 1495.2495103737.

The spelling of 3343035640 in words is "three billion, three hundred forty-three million, thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 959 1096 1370 1918 2740 3836 4795 5480 7672 9590 19180 38360 87149 174298 348596 435745 610043 697192 871490 1220086 1742980 2440172 3050215 3485960 4880344 6100430 11939413 12200860 23878826 24401720 47757652 59697065 83575891 95515304 119394130 167151782 238788260 334303564 417879455 477576520 668607128 835758910 1671517820 3343035640